Applying the Pythagorean theorem yields a hypotenuse length of approximately 65.7 units for the given right-angled triangle with sides 16 and 63.7 units. This theorem is crucial in solving geometric problems with right triangles.
To solve the problem, we can apply the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Given the two sides as 16 and 63.7 units, we can find the length of the hypotenuse (c) using the formula "c = square root of (a^2 + b^2)," where "a" and "b" are the lengths of the other two sides.
In this case, the hypotenuse (c) is calculated as the square root of (16^2 + 63.7^2), which simplifies to the square root of (256 + 4056.69), resulting in the square root of 4312.69. When rounded to the tenth, this is approximately 65.7 units. Therefore, the length of the hypotenuse is approximately 65.7 units.